Answer:
42 units²
Step-by-step explanation:
The figure is composed of a rectangle ( middle section) and 2 triangles with the same length base and height
Area of rectangle = 7 × 4 = 28 units²
Area of 2 triangles = 2 ×
× 7 × 2 = 14 units²
Area of figure = 28 + 14 = 42 units²
<h3>Solution for -3x+25=52 equation:</h3>
Simplifying
-3x + 25 = 52
Reorder the terms:
25 + -3x = 52
Solving
25 + -3x = 52
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-25' to each side of the equation.
25 + -25 + -3x = 52 + -25
Combine like terms: 25 + -25 = 0
0 + -3x = 52 + -25
-3x = 52 + -25
Combine like terms: 52 + -25 = 27
-3x = 27
Divide each side by '-3'.
x = -9
Simplifying
x = -9
Answer:
500 and 900
Step-by-step explanation:
3(x - 300) + 2(x + 100) = 3300 ← distribute parenthesis
3x - 900 + 2x + 200 = 3300
5x - 700 = 3300 ( add 700 to both sides )
5x = 4000 ( divide both sides by 5 )
x = 800
Then
cost of book = x - 300 = 800 - 300 = 500
cost of pen = x + 100 = 800 + 100 = 900
Answer:
Step-by-step explanation:
If given tables in the picture show the proportional relationship,
Number of wheels (w) ∝ Number of buses (b)
w ∝ b
w = kb
Here, k = proportionality constant
k = 
Number of buses (b) Number wheels (w) Wheels per bus 
5 30
8 48 
10 60 
15 90 
Here, proportionality constant is 6.
Similarly, If number of wheels (w) ∝ Number of train cars (t)
w = kt
Here, k = proportionality constant
k = 
Number of train cars(t) Number of wheels(w) Wheels per train car (
)
20 184 
30 264 
40 344 
50 424 
Since, ratio of w and t is not constant, relation between number of wheels and number of train cars is not proportional.